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Final Exam

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
Write an algebraic expression for the verbal expression.
 

 1. 

the product of 17 and a number
a.
17 ´ y
c.
17 ¸ y
b.
17 – y
d.
y + 17
 
 
Evaluate the expression.
 

 2. 

final_exam_files/i0050000.jpg
a.
50
c.
88
b.
106
d.
90
 

 3. 

Solve the equation.
final_exam_files/i0060000.jpg
a.
20
c.
14
b.
12
d.
2
 
 
Simplify the expression. If not possible, write simplified.
 

 4. 

final_exam_files/i0080000.jpg
a.
simplified
c.
final_exam_files/i0080001.jpg
b.
final_exam_files/i0080002.jpg
d.
final_exam_files/i0080003.jpg
 
 
Find a counterexample for the statement.
 

 5. 

If you graduate from high school in Florida, then you will attend the University of Florida.
a.
graduated from high school in Florida -- attended the University of Kentucky
b.
graduated from high school in Florida -- attended the University of Florida
c.
graduated from high school in Tennessee -- attended the University of Georgia
d.
graduated from high school in Georgia -- attended the University of Florida
 

 6. 

Identify the graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps.
a.
final_exam_files/i0110000.jpg
c.
final_exam_files/i0110001.jpg
b.
final_exam_files/i0110002.jpg
d.
final_exam_files/i0110003.jpg
 
 
The following circle graph shows the colors people choose when buying sport utility vehicles at Smart Buy Motors.

SUV Colors
final_exam_files/i0120000.jpg
 

 7. 

In one year, Smart Buy Motors sold 500 sport utility vehicles. Estimate the number purchased because they were blue.
a.
125 vehicles
c.
80 vehicles
b.
105 vehicles
d.
190 vehicles
 

 8. 

The following circle graph shows the types of books people choose when shopping at a local bookstore. If the graph is misleading, tell why it is misleading.

Books Sold
final_exam_files/i0140000.jpg
a.
The graph is not misleading.
b.
The percents do not have a sum of 100.
c.
You cannot have a category for Other.
d.
The sections need to be shaded.
 
 
Graph the set of numbers.
 

 9. 

final_exam_files/i0160000.jpg
a.
final_exam_files/i0160001.jpg
c.
final_exam_files/i0160002.jpg
b.
final_exam_files/i0160003.jpg
d.
final_exam_files/i0160004.jpg
 
 
Find the absolute value.
 

 10. 

final_exam_files/i0180000.jpg
a.
0.44
c.
0
b.
–44
d.
44
 
 
Find the sum.
 

 11. 

33 + (–50)
a.
83
c.
–17
b.
17
d.
–83
 

 12. 

final_exam_files/i0210000.jpg + final_exam_files/i0210001.jpg
a.
final_exam_files/i0210002.jpg
c.
final_exam_files/i0210003.jpg
b.
final_exam_files/i0210004.jpg
d.
final_exam_files/i0210005.jpg
 
 
Find the product.
 

 13. 

final_exam_files/i0230000.jpgfinal_exam_files/i0230001.jpg
a.
final_exam_files/i0230002.jpg
c.
final_exam_files/i0230003.jpg
b.
final_exam_files/i0230004.jpg
d.
final_exam_files/i0230005.jpg
 
 
Find the quotient.
 

 14. 

–42 ¸ (–7)
a.
–6
c.
5.25
b.
6
d.
–35
 

 15. 

–12.6 ¸ 12.6
a.
–25.2
c.
0
b.
–1
d.
1
 
 
Find the mean, median, and mode for the data set. Round answers to the nearest tenth if necessary. Then tell which best represents the data.
 

 16. 


62
71
76
75
71
74
71
80
82
63
75
76
81
72
89
84
66
74
a.
74.6, 74.5, 71, mode
c.
74.6, 71, 74.5, mean or mode
b.
74.6, 74.5, 71, mean or median
d.
47.6, 74.5, 71, median
 
 
final_exam_files/i0290000.jpg
The spinner above is used in a game. What is the probability of the following events?
 

 17. 

P(not 5)
a.
final_exam_files/i0300000.jpg
c.
final_exam_files/i0300001.jpg
b.
0
d.
final_exam_files/i0300002.jpg
 
 
Find the square root. If necessary, round to the nearest hundredth.
 

 18. 

final_exam_files/i0320000.jpg
a.
±final_exam_files/i0320001.jpg
c.
0.51
b.
±final_exam_files/i0320002.jpg
d.
final_exam_files/i0320003.jpg
 

 19. 

Write the set of numbers in order from greatest to least.
final_exam_files/i0330000.jpg, 3.9, final_exam_files/i0330001.jpg
a.
final_exam_files/i0330002.jpg, final_exam_files/i0330003.jpg, 3.9
c.
3.9, final_exam_files/i0330004.jpg, final_exam_files/i0330005.jpg
b.
final_exam_files/i0330006.jpg, 3.9, final_exam_files/i0330007.jpg
d.
final_exam_files/i0330008.jpg, 3.9, final_exam_files/i0330009.jpg
 
 
Translate the sentence into an equation.
 

 20. 

Fourteen minus four times y is equal to y increased by 4.
a.
final_exam_files/i0350000.jpg
c.
final_exam_files/i0350001.jpg
b.
final_exam_files/i0350002.jpg
d.
final_exam_files/i0350003.jpg
 
 
Solve the equation. Then check your solution.
 

 21. 

final_exam_files/i0370000.jpg
a.
–62
c.
18
b.
19
d.
–18
 

 22. 

–4.2 = –2.1n
a.
2
c.
2.1
b.
–2
d.
–6.3
 

 23. 

final_exam_files/i0390000.jpg
a.
–3
c.
final_exam_files/i0390001.jpg
b.
3
d.
final_exam_files/i0390002.jpg
 

 24. 

final_exam_files/i0400000.jpgw final_exam_files/i0400001.jpg = final_exam_files/i0400002.jpg final_exam_files/i0400003.jpgw
a.
final_exam_files/i0400004.jpg
c.
final_exam_files/i0400005.jpg
b.
final_exam_files/i0400006.jpg
d.
final_exam_files/i0400007.jpg
 
 
Solve the proportion. If necessary, round to the nearest hundredth.
 

 25. 

Allen’s boat used 6 gallons of gas in 5 hours. At this rate, how many gallons of gas will the boat use in 12 hours?
a.
10 gallons
c.
9.6 gallons
b.
14 gallons
d.
14.4 gallons
 
 
State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent.
 

 26. 

original: 30
new: 10
a.
decrease; 200%
c.
increase; 67%
b.
decrease; 67%
d.
increase; 200%
 
 
Solve the equation or formula for the variable specified.
 

 27. 

final_exam_files/i0460000.jpg for r
a.
final_exam_files/i0460001.jpg
c.
final_exam_files/i0460002.jpg
b.
final_exam_files/i0460003.jpg
d.
final_exam_files/i0460004.jpg
 
 
Ye Olde Coffee Shop sells Colombian Coffee for $9.25 per pound. Brazilian Coffee sells for $7.75 per pound. The management wishes to mix 6 pounds of Colombian Coffee with an amount of Brazilian Coffee so that the mixture sells for $8.25 per pound.

final_exam_files/i0470000.jpg
 

 28. 

Copy and complete the table representing the problem. Let b equal the number of pounds of Brazilian Coffee needed.
a.
final_exam_files/i0480000.jpg
b.
final_exam_files/i0480001.jpg
c.
final_exam_files/i0480002.jpg
d.
final_exam_files/i0480003.jpg
 

 29. 

Write an equation to represent the problem.
a.
final_exam_files/i0490000.jpg
c.
final_exam_files/i0490001.jpg
b.
final_exam_files/i0490002.jpg
d.
final_exam_files/i0490003.jpg
 
 
Plot the point on a coordinate plane.
 

 30. 

X(0, –1)
a.
final_exam_files/i0510000.jpg
c.
final_exam_files/i0510001.jpg
b.
final_exam_files/i0510002.jpg
d.
final_exam_files/i0510003.jpg
 
 
Find the coordinates of the vertices of the figure after the given transformation is performed. Then graph the preimage and its image.
 

 31. 

parallelogram ABCD with A(–5, –2), B(–4, 2), C(–1, 2), and D(–2, –2) translated 6 units right and 3 units down.
a.
A¢(1, –6), B¢(2, –1), C¢(5, -1), D¢(4, –6)
final_exam_files/i0530000.jpg
c.
A¢(1, –5), B¢(2, –1), C¢(5, –1), D¢(4, –5)
final_exam_files/i0530001.jpg
b.
A¢(1, –5), B¢(2, –1), C¢(5, –1), D¢(4, –5)
final_exam_files/i0530002.jpg
d.
A¢(1, –5), B¢(2, –1), C¢(5, –1), D¢(4, –5)
final_exam_files/i0530003.jpg
 
 
Express each relation as a graph and a mapping. Then determine the domain and range.
 

 32. 

{(1, 1), (–2, 3), (2, 4), (3, 1)}
a.
final_exam_files/i0550000.jpgfinal_exam_files/i0550001.jpg

D = {–2, 1, 3}; R = {1, 3, 4}
c.
final_exam_files/i0550002.jpgfinal_exam_files/i0550003.jpg

D = {–2, 1, 2, 3}; R = {1, 3, 4}
b.
final_exam_files/i0550004.jpg
final_exam_files/i0550005.jpg

D = {–2, 1, 2, 3}; R = {1, 3, 4}
d.
final_exam_files/i0550006.jpg
final_exam_files/i0550007.jpg

D = {–2, 1, 2, 3}; R = {1, 3, 4}
 
 
Solve the equation for the given domain. Graph the solution set.
 

 33. 

y = 2x – 1 for x = {–3, –1, 1, 2, 3}
a.
{(–3, –7), (–1, –3), (1, 1), (5, 5), (3, 5)}
final_exam_files/i0570000.jpg
c.
{(–3, –7), (–1, –3), (1, 1), (2, 3), (3, 5)}
final_exam_files/i0570001.jpg
b.
{(–3, –6), (–1, –3), (1, 1), (2, 3), (3, 5)}
final_exam_files/i0570002.jpg
d.
{(–3, –7), (–1, –3), (1, 1), (2, 3), (3, 5)}
final_exam_files/i0570003.jpg
 
 
Graph the equation.
 

 34. 

final_exam_files/i0590000.jpg
a.
final_exam_files/i0590001.jpg
c.
final_exam_files/i0590002.jpg
b.
final_exam_files/i0590003.jpg
d.
final_exam_files/i0590004.jpg
 

 35. 

final_exam_files/i0600000.jpg, find final_exam_files/i0600001.jpg.
a.
13
c.
12
b.
15
d.
17
 
 
Write an equation for the nth term of the arithmetic sequence.
 

 36. 

–29, –21, –13, –5, . . .
a.
final_exam_files/i0620000.jpg
c.
final_exam_files/i0620001.jpg
b.
final_exam_files/i0620002.jpg
d.
final_exam_files/i0620003.jpg
 
 
Find the next three terms in the sequence.
 

 37. 

6, 7, 9, 12, 16, . . .
a.
22, 28, 35
c.
20, 26, 33
b.
21, 27, 34
d.
22, 29, 36
 
 
Find the slope of the line that passes through the pair of points.
 

 38. 

(2, –3), (–5, 1)
a.
final_exam_files/i0660000.jpg
c.
final_exam_files/i0660001.jpg
b.
undefined
d.
final_exam_files/i0660002.jpg
 

 39. 

A conveyor belt runs between floors of a building as pictured below. Find the slope of the belt as a positive number.
final_exam_files/i0670000.jpg
a.
undefined
c.
final_exam_files/i0670001.jpg
b.
final_exam_files/i0670002.jpg
d.
0
 
 
Write a direct variation equation that relates the variables. Then graph the equation.
 

 40. 

Roasted cashews are $5.98 per pound. The total cost of p pounds is C.
a.
final_exam_files/i0690000.jpg
final_exam_files/i0690001.jpg
c.
final_exam_files/i0690002.jpg
final_exam_files/i0690003.jpg
b.
final_exam_files/i0690004.jpg
final_exam_files/i0690005.jpg
d.
final_exam_files/i0690006.jpg
final_exam_files/i0690007.jpg
 
 
Write a linear equation in slope-intercept form to model the situation.
 

 41. 

A taxi driver charges $5 plus $0.30 per mile.
a.
final_exam_files/i0710000.jpg
c.
final_exam_files/i0710001.jpg
b.
final_exam_files/i0710002.jpg
d.
final_exam_files/i0710003.jpg
 
 
Write an equation of the line that passes through each point with the given slope.
 

 42. 

final_exam_files/i0730000.jpg
a.
final_exam_files/i0730001.jpg
c.
final_exam_files/i0730002.jpg
b.
final_exam_files/i0730003.jpg
d.
final_exam_files/i0730004.jpg
 
 
Write the point-slope form of an equation for a line that passes through the point with the given slope.
 

 43. 

(–4, 3), m = 1
a.
y 3 = 1(x + 4)
c.
y 3 = 1(x 4)
b.
y + 3 = 1(x + 4)
d.
y 3 = –(x + 4)
 
 
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.
 

 44. 

(5, –1), y = final_exam_files/i0770000.jpgx + 1
a.
y = final_exam_files/i0770001.jpgx + final_exam_files/i0770002.jpg
c.
y = final_exam_files/i0770003.jpgx + final_exam_files/i0770004.jpg
b.
y = final_exam_files/i0770005.jpgx + final_exam_files/i0770006.jpg
d.
y = final_exam_files/i0770007.jpgxfinal_exam_files/i0770008.jpg
 
 
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.
 

 45. 


Women in the Army
final_exam_files/i0790000.jpg
Year
Source: Time Magazine, March 24, 2003
a.
positive; as time goes on, more women are in the army.
b.
no correlation
c.
negative; as time goes on, fewer women are in the army.
d.
negative; as time goes on, more women are in the army.
 
 
Average Cycling Speed
final_exam_files/i0800000.jpg
 

 46. 

Use the scatter plot that shows the average cycling speed as time passes. Use the points (5, 15) and (25, 10) to write the slope-intercept form of an equation for the line of fit shown in the scatter plot.
a.
final_exam_files/i0810000.jpg
c.
final_exam_files/i0810001.jpg
b.
final_exam_files/i0810002.jpg
d.
final_exam_files/i0810003.jpg
 

 47. 

Use the scatter plot that shows the average cycling speed as time passes. Predict the speed of the cyclist after 30 minutes.
a.
about 6.2 miles per hour
c.
about 12.3 miles per hour
b.
about 8.8 miles per hour
d.
about 10.5 miles per hour
 
 
Solve the inequality. Graph the solution on a number line.
 

 48. 

final_exam_files/i0840000.jpg
a.
final_exam_files/i0840001.jpg
final_exam_files/i0840002.jpg
b.
final_exam_files/i0840003.jpg
final_exam_files/i0840004.jpg
c.
final_exam_files/i0840005.jpg
final_exam_files/i0840006.jpg
d.
final_exam_files/i0840007.jpg
final_exam_files/i0840008.jpg
 
 
Solve the inequality.
 

 49. 

final_exam_files/i0860000.jpg
a.
final_exam_files/i0860001.jpg
c.
final_exam_files/i0860002.jpg
b.
final_exam_files/i0860003.jpg
d.
final_exam_files/i0860004.jpg
 

 50. 

final_exam_files/i0870000.jpg
a.
final_exam_files/i0870001.jpg
c.
final_exam_files/i0870002.jpg
b.
final_exam_files/i0870003.jpg
d.
final_exam_files/i0870004.jpg
 
 
Solve the compound inequality and graph the solution set.
 

 51. 

final_exam_files/i0890000.jpg and final_exam_files/i0890001.jpg
a.
final_exam_files/i0890002.jpg
final_exam_files/i0890003.jpg
c.
final_exam_files/i0890004.jpg
final_exam_files/i0890005.jpg
b.
final_exam_files/i0890006.jpg
final_exam_files/i0890007.jpg
d.
final_exam_files/i0890008.jpg
final_exam_files/i0890009.jpg
 
 
Solve the open sentence and graph the solution.
 

 52. 

|s – 7| = 2
a.
s = –5 and s = –9
final_exam_files/i0910000.jpg
c.
s = 9 and s = –5
final_exam_files/i0910001.jpg
b.
s = –9 and s = 5
final_exam_files/i0910002.jpg
d.
s = 9 and s = 5
final_exam_files/i0910003.jpg
 
 
Graph the inequality.
 

 53. 

final_exam_files/i0930000.jpg
a.
final_exam_files/i0930001.jpg
c.
final_exam_files/i0930002.jpg
b.
final_exam_files/i0930003.jpg
d.
final_exam_files/i0930004.jpg
 



 
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